Variational integrator for fractional Euler-Lagrange equations

被引：27

作者：

Bourdin, Loic ^{[1
]}

Cresson, Jacky ^{[1
]}

Greff, Isabelle ^{[1
]}

Inizan, Pierre ^{[2
]}

机构：

[1] Univ Pau & Pays Adour, UMR CNRS 5142, Pau LMAP, Lab Math & Leurs Applicat, F-64010 Pau, France

[2] Observ Paris, Inst Mecan Celeste & Calcul Ephemerides, F-75014 Paris, France

来源：

APPLIED NUMERICAL MATHEMATICS | 2013年 / 71卷

关键词：

Euler-Lagrange equations; Fractional calculus; Variational integrator; Noether's theorem; NOETHERS THEOREM; FORMULATION; MECHANICS; SCHEME;

D O I：

10.1016/j.apnum.2013.03.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the notion of variational integrator for classical Euler-Lagrange equations to the fractional ones. As in the classical case, we prove that the variational integrator allows to preserve Noether-type results at the discrete level. (C )2013 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：14 / 23

页数：10

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